/usr/include/givaro/givtablelimits.h is in libgivaro-dev 3.7.2-1.
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// Copyright(c)'1994-2009 by The Givaro group
// This file is part of Givaro.
// Givaro is governed by the CeCILL-B license under French law
// and abiding by the rules of distribution of free software.
// see the COPYRIGHT file for more details.
// file: givadicqfq.h
// Time-stamp: <30 Nov 11 11:12:05 Jean-Guillaume.Dumas@imag.fr>
// date: 2007
// version:
// author: Jean-Guillaume.Dumas
/*! @file zpz/givtablelimits.h
* @ingroup zpz
* @brief Zech extension.
* Zech extension fitting a small enough memory space
* t-adic max sizes for BLAS based linear algebra over extension fields
* @bib
* - Dumas, Gautier, Pernet <i>Finite field linear algebra subroutines.</i>
* ISSAC'02: Proceedings of the 2002 International Symposium on Symbolic
* and Algebraic Computation, Lille, France pp 63--74.
*/
#ifndef __GIVARO_tablesize_MAX_H
#define __GIVARO_tablesize_MAX_H
#ifndef _GIVARO_FF_TABLE_MAX
// 2^23 ---> 2^23*4*3 = 100K
// #define FF_TABLE_MAX 8388608UL
// 2^20 ---> 2s on 735MHz
//#define FF_TABLE_MAX 1048576UL
// Now 2^21+1 seems OK
#define _GIVARO_FF_TABLE_MAX 2097153UL
#endif
#ifndef _GIVARO_FF_MAXEXPONENT_
#define _GIVARO_FF_MAXEXPONENT_ 21
#endif
#include <iostream>
#include <vector>
#include "givaro/givprimes16.h"
#include <cmath>
#include <stddef.h>
namespace Givaro {
// --------------------------------------------- class
class AdicSize {
public:
static size_t nmax53(const unsigned long P, const unsigned long e) {
size_t i = 0;
while (Primes16::ith(i) < P) ++i;
return n_max_53[i][e-2];
}
static size_t qmax53(const unsigned long P, const unsigned long e) {
size_t i = 0;
while (Primes16::ith(i) < P) ++i;
return qadic_53[i][e-2];
}
static size_t nmax64(const unsigned long P, const unsigned long e) {
size_t i = 0;
while (Primes16::ith(i) < P) ++i;
return n_max_64[i][e-2];
}
size_t qmax64(const unsigned long P, const unsigned long e) {
size_t i = 0;
while (Primes16::ith(i) < P) ++i;
return qadic_64[i][e-2];
}
static size_t twopmax53(const unsigned long P, const unsigned long e, const unsigned long nm) {
double tmp = double(P-1);
tmp *= double(P-1);
tmp *= double(e);
tmp *= double(nm);
size_t k = (size_t)ilogb(tmp);
return ( (53/(2*e-1))>k ? ++k : 0);
}
static size_t twopmax53(const unsigned long P, const unsigned long e) {
size_t k = 53/(2*e-1);
return ( std::pow((double)2.0,double(k))>double(e*(P-1)*(P-1)) ? k: 0);
}
private:
static const size_t n_max_53[][_GIVARO_FF_MAXEXPONENT_];
static const size_t n_max_64[][_GIVARO_FF_MAXEXPONENT_];
static const size_t qadic_53[][_GIVARO_FF_MAXEXPONENT_];
static const size_t qadic_64[][_GIVARO_FF_MAXEXPONENT_];
};
} // namespace Givaro
#endif // __GIVARO_tablesize_MAX_H
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